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A tuning fork of frequency 200Hz is in u...

A tuning fork of frequency 200Hz is in unison with a sonometer wire. How many beats`//`sec will be heard if tension in the wire is increased by `2%`?

Text Solution

Verified by Experts

Here, `n_(1)=200Hz`
Let `T_(1)=100` units `:.T_(2)=102` units
Now, `n_(2)=n_(1)sqrt((T_(2)/(T_(1))))=200sqrt((102)/(100))=200(1+(2)/(100))^(1//2)`
`=200(1+(1)/(2)xx(2)/(100))=202`
`:.` No. of beats`//` sec `=n_(2)-n_(1)=202-200=2`
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